{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example 2: Hyperparameters and Hyperparameter Tuning with the CIM \n",
    "\n",
    "This notebook serves as a continuation of example 1, with a focus on observing specific CIM hyperparameters and their impact on the internal dynamics of our simulator. We also discuss hyperparameter tuning with Bayesian optimization Hyperband, which creates a search space across a subset of hyperparameters and tunes these particular hyperparameters to find lower minimum energies."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading J matrix and hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# loading imports\n",
    "import sys\n",
    "from pathlib import Path\n",
    "sys.path.append(str(Path.cwd()) + \"\\\\..\\\\\") # append repo folder to list of search directories \n",
    "\n",
    "from cim_optimizer.solve_Ising import *\n",
    "from cim_optimizer.CIM_helper import brute_force, load_adjMatrix_from_rudy\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "instance_path_str_MAXCUT = str(Path.cwd()) + \"\\\\..\\\\instances\\\\MC_Instances_NPZ\\\\\"\n",
    "\n",
    "# 20 spin MAXCUT problem\n",
    "N = 20\n",
    "mc_id = 1 # select first example of 20 spin MAXCUT problem\n",
    "J = - np.load(instance_path_str_MAXCUT + f\"MC50_N={N}_{mc_id}.npz\") # load J matrix for 50% density MAX-CUT problem\n",
    "\n",
    "# obtain ground state energy \n",
    "loaded_energies = np.load(instance_path_str_MAXCUT + f\"MC50_N={N}_ground_energies.npz\")\n",
    "ground_state_energy = (loaded_energies)[mc_id-1]\n",
    "\n",
    "# CAC hyperparameters\n",
    "p=-0.3 \n",
    "alpha= 0.7 \n",
    "beta=0.25 \n",
    "gamma= 0.010\n",
    "delta= 12 \n",
    "mu=0.8 \n",
    "rho=1.2 \n",
    "tau=150\n",
    "\n",
    "# additional trial information\n",
    "num_trials = 1\n",
    "time_span = 2500\n",
    "nsub = 0.04"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solving with the simulated coherent Ising machine"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now apply the CAC CIM model to our J matrix for a single trial with 2500 steps and preset hyperparameters. Note that all hyperparameters are configurable; the only required input is the J matrix. While the hyperparameters are intended for the MAX-CUT N=100 problem, it is still fairly similar and thus yields better results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No External Field Detected\n",
      "Target Ising Energy: -29.0.\n",
      "Best Ising Energy Found: -29.0.\n",
      "Corresponding Spin Configuration: [ 1. -1.  1. -1. -1.  1. -1.  1. -1. -1.  1. -1. -1. -1.  1. -1.  1.  1.\n",
      "  1.  1.].\n",
      "Time Elapsed: 1.083066463470459.\n",
      "Number of Runs Completed: 1.\n",
      "Success Probability: 1.0.\n"
     ]
    }
   ],
   "source": [
    "test_with_hyperparameters = Ising(J).solve(num_runs = num_trials, num_timesteps_per_run = time_span, target_energy = ground_state_energy, return_spin_trajectories_all_runs=True,\n",
    "                      cac_time_step=nsub, cac_r=p, cac_alpha=alpha, cac_beta=beta, cac_gamma=gamma, cac_delta=delta,\n",
    "                      cac_mu=mu,cac_rho=rho,cac_tau=tau, hyperparameters_randomtune = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No External Field Detected\n",
      "Target Ising Energy: -inf.\n",
      "Best Ising Energy Found: -23.0.\n",
      "Corresponding Spin Configuration: [ 1.  1. -1. -1.  1. -1.  1. -1.  1. -1.  1.  1.  1.  1. -1.  1. -1. -1.\n",
      " -1. -1.].\n",
      "Time Elapsed: 0.4189014434814453.\n",
      "Number of Runs Completed: 1.\n"
     ]
    }
   ],
   "source": [
    "test_without_hyperparameters = Ising(J).solve(hyperparameters_randomtune = False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The well-selected hyperparameters is capable of achieving the ground state energy while also maintaining much more complex dynamics (as seen from the plots below). While the particular selection can be done via grid search or any other hyperparameter selection method, we also provide a BOHB implementation of all three solvers that allows for tuning of particular model hyperparameters around some initially selected values (dependent on the solver)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No External Field Detected\n",
      "Target Ising Energy: -29.0.\n",
      "Best Ising Energy Found: -29.0.\n",
      "Corresponding Spin Configuration: [-1.  1. -1.  1.  1. -1.  1. -1.  1.  1. -1.  1.  1.  1. -1.  1. -1. -1.\n",
      " -1. -1.].\n",
      "Time Elapsed: 1.0820016860961914.\n",
      "Number of Runs Completed: 1.\n",
      "Success Probability: 1.0.\n"
     ]
    }
   ],
   "source": [
    "from cim_optimizer.optimal_params import maxcut_100_params\n",
    "test = Ising(J).solve(target_energy = ground_state_energy, return_spin_trajectories_all_runs=True, **maxcut_100_params(), hyperparameters_randomtune = False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, we can use the predefined hyperparameters stored in `optimal_params` to save time. This is particularly useful for problems that share similarities to MAX-CUT or SK, as those are well-studied problems with defined optimal hyperparameters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Internal dynamics of the CIM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compared to example 1, the internal spin trajectories are much more complicated. This is due to a better selection of our hyperparameters, which allows for a more robust search for the minima. Note that the spin trajectory amplitudes flipping signs is indicative of working towards a new minima, allowing the CIM simulator to continue stepping towards the ground state energy instead of being stuck in the first local minima."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_with_hyperparameters.result.plot_spin_trajectories() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_with_hyperparameters.result.plot_spin_trajectories(plot_type=\"energy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayesian Optimization Hyperband"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now pivot to a large MAX-CUT problem where the improvement via BOHB is noticeable. In particular, we look at a 500 spin problem where the ground state energy cannot be easily achieved."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 500 spin MAX-CUT problem\n",
    "N = 500\n",
    "mc_id = 1\n",
    "J = - np.load(instance_path_str_MAXCUT + f\"MC50_N={N}_{mc_id}.npz\")[\"arr_0\"]\n",
    "\n",
    "# obtain ground state energy\n",
    "loaded_energies = np.load(instance_path_str_MAXCUT + f\"MC50_N={N}_ground_energies.npz\")\n",
    "ground_state_energy = (loaded_energies)[mc_id-1]\n",
    "\n",
    "# CAC hyperparameters\n",
    "p= 0.9\n",
    "alpha= 1.1\n",
    "beta= 0.35 \n",
    "gamma= 0.0005\n",
    "delta= 15 \n",
    "mu= 0.7\n",
    "rho= 1 \n",
    "tau= 200\n",
    "noise = 0.00\n",
    "\n",
    "# additional run information\n",
    "num_trials = 1\n",
    "time_span = 25000\n",
    "nsub = 0.02"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To save space, we add an additional parameter: suppress_statements. By setting this to True, we ignore print statements, but all outputs can still be accessed. For example, we plot the spin amplitude evolution of the CIM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No External Field Detected\n",
      "Minimum Energy Achieved: -4160.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_500_spin_problem = Ising(J).solve(num_runs = num_trials, num_timesteps_per_run = time_span, target_energy = ground_state_energy, return_spin_trajectories_all_runs=True,\n",
    "                      cac_time_step=nsub, cac_r=p, cac_alpha=alpha, cac_beta=beta, cac_gamma=gamma, cac_delta=delta,\n",
    "                      cac_mu=mu,cac_rho=rho,cac_tau=tau,suppress_statements=True,hyperparameters_randomtune = False)\n",
    "\n",
    "test_500_spin_problem.result.plot_spin_trajectories(plot_type=\"spins\")\n",
    "print(\"Minimum Energy Achieved: {}\".format(test_500_spin_problem.result.lowest_energy))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the ground state energy of this problem cannot be computed by the CIM with the present hyperparameters. We now apply Bayesian Optimization Hyperband to tune particular hyperparameters to try and achieve a more optimal minimum energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No External Field Detected\n",
      "Tuned parameters: {'T_time': 25000, 'time_step': 0.02, 'gamma': 0.0005, 'delta': 15, 'mu': 0.7, 'tau': 200, 'noise': 0, 'H0': None, 'stop_when_solved': False, 'num_sol': 10, 'custom_fb_schedule': None, 'custom_pump_schedule': None, 'device': device(type='cpu'), 'batch_size': 1, 'cac_nonlinearity': <built-in method tanh of type object at 0x00007FF87D1EBF30>, 'beta': 0.2899817235338158, 'r': 0.9368322261195083, 'alpha': 0.9709622518763276, 'rho': 0.8154047716098116}.\n",
      "Minimum Energy Achieved: -4112.0\n"
     ]
    }
   ],
   "source": [
    "test_500_spin_problem_tune = Ising(J).solve(num_runs = num_trials, num_timesteps_per_run = time_span, target_energy = ground_state_energy, return_spin_trajectories_all_runs=True,\n",
    "                      cac_time_step=nsub, cac_r=p, cac_alpha=alpha, cac_beta=beta, cac_gamma=gamma, cac_delta=delta,\n",
    "                      cac_mu=mu,cac_rho=rho,cac_tau=tau,suppress_statements=True,hyperparameters_autotune=True,hyperparameters_randomtune = False)\n",
    "\n",
    "print(\"Minimum Energy Achieved: {}\".format(test_500_spin_problem_tune.result.lowest_energy))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although tuning is still not sufficient to reach the ground state energy, it is capable of improving upon the performance of the minimum ground state energy achieved. The tuned hyperparameters vary from model to model, but in the case of the CAC solver, these include cac_beta, cac_r, cac_alpha, and cac_rho."
   ]
  }
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